SAM · Change and accumulation · leaf
The derivative is the slope of the curve if you zoom in far enough for it to look straight.
Before this leaf: Functions, Sequences, limits and series, Trigonometry and the unit circle.
This leaf feeds: Integration.
Objects you will meet again: the 3-4-5 triangle, the fifteen.
One row per lesson, in the order the leaf builds up. Each lesson holds its notes, its demos and its challenges on one page. A demo link opens the lesson at that demo.
This leaf is planned. Its lessons are being designed now, and each one appears here when it is built. The strip above shows its planned length.
The derivative is the best local linear machine, so this leaf and Linear Algebra page 6 are one thought at two scales.
Every new word from this leaf appears here, with one sentence and the lesson that introduces it.
The sequencing for this leaf is published with its first lessons.